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Finding the Fourth Proportional to 8,497.39, 11,722.63 and 5,662.00

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Solution

The fourth proportional to 8,497.39, 11,722.63 and 5,662.00 is: 7,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.39 : 11,722.63 = 5,662.00 : x
  2. Step 2: Convert to fraction form
    8,497.39/11,722.63 = 5,662.00/x
  3. Step 3: Cross multiply
    8,497.39x = 11,722.63 × 5,662.00
  4. Step 4: Simplify right side
    8,497.39x = 66,373,553.19
  5. Step 5: Solve for x
    x = 66,373,553.19/8,497.39
  6. Step 6: Final answer
    x = 7,811.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.